Results 1 to 10 of about 127 (111)
Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces [PDF]
Journal of Inequalities and Applications, 2018 We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator.
Charu Sharma +3 more
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Small operator ideals formed by s numbers on generalized Cesáro and Orlicz sequence spaces [PDF]
Journal of Inequalities and Applications, 2018 In this article, we establish sufficient conditions on the generalized Cesáro and Orlicz sequence spaces E $\mathbb{E}$ such that the class SE $S_{\mathbb{E}}$ of all bounded linear operators between arbitrary Banach spaces with its sequence of s-numbers
Nashat Faried, Awad A. Bakery
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Some new lacunary statistical convergence with ideals [PDF]
Journal of Inequalities and Applications, 2017 In this paper, the idea of lacunary I λ $I_{\lambda}$ -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function.
Adem Kilicman, Stuti Borgohain
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On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm
Journal of Harbin University of Science and Technology, 2022 This paper mainly studies the convex coefficients of the Musielak-Orlicz sequence space equipped the Orlicz norm. Due to the complexity of the Musielak-Orlicz sequence space with Orlicz norm and the cumbersome calculation, no one has yet given the ...
CUI Yun-an, GUO Tian-bao
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GENERALIZED ORLICZ SEQUENCE SPACES
Barekeng, 2023 Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces.
Cece Kustiawan +5 more
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A Note on Smooth Points in Orlicz Sequence Spaces
Journal of Harbin University of Science and Technology, 2021 In this paper，when φ( u) /u→A( u→∞ ) the criterion of smooth points in Orlicz sequence space generated by general Orlicz functions and the equivalence conditions of smooth points with very smooth points and strong smooth points are given. On this basis，
WANG Jing, CUI Yun-an
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β Property in Orlicz Sequence Spaces Equipped with s-norm
Journal of Harbin University of Science and Technology, 2022 Orlicz spaces equipped with s-norm is an extension of Orlicz spaces. In order to studing the H property and the property β in Orlicz space equipped with s-norm，some basic properties of the s-norm are discussed firstly.
CUI Yun-an, DONG Jia-qi
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On a Class of Sequences Related to $p$-Absolutely Summable Sequences in Metric Space Defined by Orlicz Functions [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this article we have introduced the sequence space $m(\phi,d)$ and $m(M,\phi,d)$ of W. L. C. Sargent type in a metric space $(X, d)$ on generalising the sequence space $m(\phi)$ and we have defined these sequence spaces using the Orlicz function $M ...
Rinku Dey, Binod Tripathy
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Asymptotically isometric copies of c_{0} in Musielak-Orlicz spaces [PDF]
Opuscula Mathematica, 2014 Criteria in order that a Musielak-Orlicz function space \(L^\Phi\) as well as Musielak-Orlicz sequence space \(l^\Phi\) contains an asymptotically isometric copy of \(c_0\) are given. These results extend some results of [Y.A. Cui, H. Hudzik, G. Lewicki,
Agata Narloch, Lucjan Szymaszkiewicz
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Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal
Journal of Mathematics, 2020 In this article, the necessary conditions on s-type Orlicz generalized difference sequence space to generate an operator ideal have been examined. Therefore, the s-type Orlicz generalized difference sequence space which fails to generate an operator ...
Awad A. Bakery, OM Kalthum S. K. Mohamed
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